{"id":"https://openalex.org/W2146118013","doi":"https://doi.org/10.1109/cdc.2008.4739054","title":"Formal analysis of timed continuous Petri nets","display_name":"Formal analysis of timed continuous Petri nets","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2146118013","doi":"https://doi.org/10.1109/cdc.2008.4739054","mag":"2146118013"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2008.4739054","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2008.4739054","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 47th IEEE Conference on Decision and Control","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046534630","display_name":"Marius Kloetzer","orcid":"https://orcid.org/0000-0003-4338-0421"},"institutions":[{"id":"https://openalex.org/I4210155419","display_name":"Center for Systems Biology","ror":"https://ror.org/05r3dyn47","country_code":"US","type":"facility","lineage":["https://openalex.org/I136199984","https://openalex.org/I4210087915","https://openalex.org/I4210155419","https://openalex.org/I48633490"]},{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Marius Kloetzer","raw_affiliation_strings":["Center for Information and Systems Engineering, Boston University, Brookline, MA, USA","[Center for Information and Systems Engineering, Boston University, Brookline, MA, USA]"],"affiliations":[{"raw_affiliation_string":"Center for Information and Systems Engineering, Boston University, Brookline, MA, USA","institution_ids":["https://openalex.org/I4210155419","https://openalex.org/I111088046"]},{"raw_affiliation_string":"[Center for Information and Systems Engineering, Boston University, Brookline, MA, USA]","institution_ids":["https://openalex.org/I111088046"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085504277","display_name":"Cristian Mahulea","orcid":"https://orcid.org/0000-0003-0056-2225"},"institutions":[{"id":"https://openalex.org/I255234318","display_name":"Universidad de Zaragoza","ror":"https://ror.org/012a91z28","country_code":"ES","type":"education","lineage":["https://openalex.org/I255234318"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Cristian Mahulea","raw_affiliation_strings":["Arag\u00f3n Institute for Engineering Research (I3A), University of Zaragoza, Zaragoza, Spain","Aragon Institute for Engineering Research (I3A), University of Zaragoza, Zaragoza, Spain#TAB#"],"affiliations":[{"raw_affiliation_string":"Arag\u00f3n Institute for Engineering Research (I3A), University of Zaragoza, Zaragoza, Spain","institution_ids":["https://openalex.org/I255234318"]},{"raw_affiliation_string":"Aragon Institute for Engineering Research (I3A), University of Zaragoza, Zaragoza, Spain#TAB#","institution_ids":["https://openalex.org/I255234318"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086742095","display_name":"C\u0103lin Belta","orcid":"https://orcid.org/0000-0002-7141-2657"},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]},{"id":"https://openalex.org/I4210155419","display_name":"Center for Systems Biology","ror":"https://ror.org/05r3dyn47","country_code":"US","type":"facility","lineage":["https://openalex.org/I136199984","https://openalex.org/I4210087915","https://openalex.org/I4210155419","https://openalex.org/I48633490"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Calin Belta","raw_affiliation_strings":["Center for Information and Systems Engineering, Boston University, Brookline, MA, USA","[Center for Information and Systems Engineering, Boston University, Brookline, MA, USA]"],"affiliations":[{"raw_affiliation_string":"Center for Information and Systems Engineering, Boston University, Brookline, MA, USA","institution_ids":["https://openalex.org/I4210155419","https://openalex.org/I111088046"]},{"raw_affiliation_string":"[Center for Information and Systems Engineering, Boston University, Brookline, MA, USA]","institution_ids":["https://openalex.org/I111088046"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113676620","display_name":"Laura Recalde","orcid":null},"institutions":[{"id":"https://openalex.org/I255234318","display_name":"Universidad de Zaragoza","ror":"https://ror.org/012a91z28","country_code":"ES","type":"education","lineage":["https://openalex.org/I255234318"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Laura Recalde","raw_affiliation_strings":["Arag\u00f3n Institute for Engineering Research (I3A), University of Zaragoza, Zaragoza, Spain","Aragon Institute for Engineering Research (I3A), University of Zaragoza, Zaragoza, Spain#TAB#"],"affiliations":[{"raw_affiliation_string":"Arag\u00f3n Institute for Engineering Research (I3A), University of Zaragoza, Zaragoza, Spain","institution_ids":["https://openalex.org/I255234318"]},{"raw_affiliation_string":"Aragon Institute for Engineering Research (I3A), University of Zaragoza, Zaragoza, Spain#TAB#","institution_ids":["https://openalex.org/I255234318"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100385306","display_name":"Manuel Silva","orcid":"https://orcid.org/0000-0001-8631-8770"},"institutions":[{"id":"https://openalex.org/I255234318","display_name":"Universidad de Zaragoza","ror":"https://ror.org/012a91z28","country_code":"ES","type":"education","lineage":["https://openalex.org/I255234318"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Manuel Silva","raw_affiliation_strings":["Arag\u00f3n Institute for Engineering Research (I3A), University of Zaragoza, Zaragoza, Spain","Aragon Institute for Engineering Research (I3A), University of Zaragoza, Zaragoza, Spain#TAB#"],"affiliations":[{"raw_affiliation_string":"Arag\u00f3n Institute for Engineering Research (I3A), University of Zaragoza, Zaragoza, Spain","institution_ids":["https://openalex.org/I255234318"]},{"raw_affiliation_string":"Aragon Institute for Engineering Research (I3A), University of Zaragoza, Zaragoza, Spain#TAB#","institution_ids":["https://openalex.org/I255234318"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5046534630"],"corresponding_institution_ids":["https://openalex.org/I111088046","https://openalex.org/I4210155419"],"apc_list":null,"apc_paid":null,"fwci":0.8011,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.76548145,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"40","issue":null,"first_page":"245","last_page":"250"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11125","display_name":"Petri Nets in System Modeling","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11450","display_name":"Model-Driven Software Engineering Techniques","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/petri-net","display_name":"Petri net","score":0.8018028140068054},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6549171209335327},{"id":"https://openalex.org/keywords/linear-temporal-logic","display_name":"Linear temporal logic","score":0.6313508152961731},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.588874101638794},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5737285614013672},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5528716444969177},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5236801505088806},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.4801180362701416},{"id":"https://openalex.org/keywords/formal-verification","display_name":"Formal verification","score":0.4640234112739563},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.4630020260810852},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.44978487491607666},{"id":"https://openalex.org/keywords/temporal-logic","display_name":"Temporal logic","score":0.4389357268810272},{"id":"https://openalex.org/keywords/formal-methods","display_name":"Formal methods","score":0.4162246584892273},{"id":"https://openalex.org/keywords/formal-specification","display_name":"Formal specification","score":0.41268110275268555},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.38153165578842163},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2843257784843445}],"concepts":[{"id":"https://openalex.org/C38677869","wikidata":"https://www.wikidata.org/wiki/Q724168","display_name":"Petri net","level":2,"score":0.8018028140068054},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6549171209335327},{"id":"https://openalex.org/C4777664","wikidata":"https://www.wikidata.org/wiki/Q1536492","display_name":"Linear temporal logic","level":2,"score":0.6313508152961731},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.588874101638794},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5737285614013672},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5528716444969177},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5236801505088806},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.4801180362701416},{"id":"https://openalex.org/C111498074","wikidata":"https://www.wikidata.org/wiki/Q173326","display_name":"Formal verification","level":2,"score":0.4640234112739563},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.4630020260810852},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.44978487491607666},{"id":"https://openalex.org/C25016198","wikidata":"https://www.wikidata.org/wiki/Q781833","display_name":"Temporal logic","level":2,"score":0.4389357268810272},{"id":"https://openalex.org/C75606506","wikidata":"https://www.wikidata.org/wiki/Q1049183","display_name":"Formal methods","level":2,"score":0.4162246584892273},{"id":"https://openalex.org/C116253237","wikidata":"https://www.wikidata.org/wiki/Q1437424","display_name":"Formal specification","level":2,"score":0.41268110275268555},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.38153165578842163},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2843257784843445},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2008.4739054","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2008.4739054","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 47th IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W68069235","https://openalex.org/W1505489763","https://openalex.org/W1567452221","https://openalex.org/W1603626552","https://openalex.org/W1943502734","https://openalex.org/W2001511858","https://openalex.org/W2015688007","https://openalex.org/W2094470590","https://openalex.org/W2105826449","https://openalex.org/W2111149061","https://openalex.org/W2112594687","https://openalex.org/W2135237662","https://openalex.org/W2146257001","https://openalex.org/W2147970103","https://openalex.org/W2150335178","https://openalex.org/W2159468741","https://openalex.org/W2164517289","https://openalex.org/W2166691751","https://openalex.org/W2167094312","https://openalex.org/W2168135204","https://openalex.org/W2913459036","https://openalex.org/W4246415257"],"related_works":["https://openalex.org/W2124110813","https://openalex.org/W2763487042","https://openalex.org/W2171674700","https://openalex.org/W2145025660","https://openalex.org/W1922520186","https://openalex.org/W1544097700","https://openalex.org/W1946493810","https://openalex.org/W1495250406","https://openalex.org/W17088386","https://openalex.org/W1608485412"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,18],"develop":[4],"an":[5,24,109],"automated":[6],"framework":[7],"for":[8,84,112],"formal":[9],"verification":[10],"of":[11,27,32,60,69,114,129],"timed":[12],"continuous":[13],"Petri":[14],"nets":[15],"(contPN).":[16],"Specifically,":[17],"consider":[19],"two":[20,139],"problems:":[21],"(1)":[22],"given":[23,50,119],"initial":[25,43,70],"set":[26,31,44,59,68],"markings,":[28,34],"construct":[29,66],"a":[30,51,58,67,91,98,104],"unreachable":[33],"i.e.,":[35],"such":[36,72],"that":[37,73,90],"all":[38,74],"trajectories":[39,75],"starting":[40,82],"in":[41,63],"the":[42,46,64,79,88],"avoid":[45],"latter":[47],"one;":[48],"(2)":[49],"linear":[52,61,124],"temporal":[53],"logic":[54],"(LTL)":[55],"formula":[56],"over":[57,123],"predicates":[62],"state,":[65],"states":[71],"originating":[76],"there":[77],"satisfy":[78],"specification.":[80],"The":[81,126],"point":[83],"our":[85],"approach":[86],"is":[87],"observation":[89],"contPN":[92],"system":[93,102],"can":[94],"be":[95],"written":[96],"as":[97,120],"piecewise":[99],"affine":[100],"(PWA)":[101],"with":[103],"polyhedral":[105,130],"partition.":[106],"We":[107,137],"propose":[108],"iterative":[110],"method":[111],"analysis":[113],"PWA":[115],"systems":[116],"from":[117],"specifications":[118],"LTL":[121],"formulas":[122],"predicates.":[125],"computation":[127],"consists":[128],"operations":[131],"and":[132],"searches":[133],"on":[134],"graphs":[135],"only.":[136],"present":[138],"illustrative":[140],"numerical":[141],"examples.":[142]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}